Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232w |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-5315009439904819776 = -1 · 26 · 318 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 11- -1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,165488,107795866] |
[a1,a2,a3,a4,a6] |
j |
36534162368/387420489 |
j-invariant |
L |
1.0668864883936 |
L(r)(E,1)/r! |
Ω |
0.17781441473225 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23232cj1 11616be1 69696cz1 23232y1 |
Quadratic twists by: -4 8 -3 -11 |